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  • Question
  • Divide 50 into two parts so that the sum of their reciprocals is 1/12?


  • Options
  • A. 20, 30
  • B. 24, 26
  • C. 28, 22
  • D. 36, 14

  • Correct Answer
  • 20, 30 

    Explanation

    Let the number be N and (50 - N)
    Then, 1/N + 1/(50-N) = 1/12
    ? (50 - N + N) / {N(50 - N)} = 1/12
    ? N2 - 50N + 600 = 0
    ? N = 30 or 20
    ? the number are 20, 30


  • Number System problems


    Search Results


    • 1. 
      A number when divided by 6 is diminished by 40. The number is?

    • Options
    • A. 72
    • B. 84
    • C. 60
    • D. 48
    • Discuss
    • 2. 
      The sum of three consecutive odd number is 57. The middle one is?

    • Options
    • A. 19
    • B. 21
    • C. 23
    • D. 17
    • Discuss
    • 3. 
      Three number are in the ratio 4 : 5 : 6 and their average is 25. The largest number is?

    • Options
    • A. 42
    • B. 36
    • C. 30
    • D. 32
    • Discuss
    • 4. 
      What number must be added to numerator and denominator of 3/4 to give 11/12?

    • Options
    • A. 5
    • B. 6
    • C. 7
    • D. 8
    • Discuss
    • 5. 
      Three - fourth of number is more than two-third of the number by 5. The number is?

    • Options
    • A. 72
    • B. 60
    • C. 84
    • D. 48
    • Discuss
    • 6. 
      The ratio between two numbers is 2 : 3. If the consequent is 24, the antecedent is?

    • Options
    • A. 36
    • B. 16
    • C. 48
    • D. 72
    • Discuss
    • 7. 
      If a number is subtracted from the square of its one half, the result is 48. The square root of the number is?

    • Options
    • A. 4
    • B. 5
    • C. 6
    • D. 8
    • Discuss
    • 8. 
      The sum of three consecutive number is given. What is the difference between first and third number?

    • Options
    • A. One
    • B. Three
    • C. Either (A) or (B)
    • D. Two
    • Discuss
    • 9. 
      A number gets reduced to its one-third, when 48 is subtracted from it. What is two-third of that number?

    • Options
    • A. 24
    • B. 72
    • C. 36
    • D. None of these
    • Discuss
    • 10. 
      When a number is divided by 12 then dividend becomes 1/4 of the other number. by how much per cent is first number greater than the second number?

    • Options
    • A. 200
    • B. 150
    • C. 300
    • D. Data inadequate
    • Discuss


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